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A377720
E.g.f. satisfies A(x) = (1 + x * (exp(x) - 1) * A(x))^3.
0
1, 0, 6, 9, 300, 1455, 44658, 430941, 13821048, 213210171, 7400153550, 160981385433, 6126989357844, 173482562393751, 7273217782923498, 253885773923800245, 11726322434886352368, 485729504795911017075, 24658741688798553168582, 1179026561203600147075857
OFFSET
0,3
FORMULA
E.g.f.: B(x)^3, where B(x) is the e.g.f. of A371143.
a(n) = 3 * n! * Sum_{k=0..floor(n/2)} (3*k+2)! * Stirling2(n-k,k)/( (n-k)! * (2*k+3)! ).
PROG
(PARI) a(n) = 3*n!*sum(k=0, n\2, (3*k+2)!*stirling(n-k, k, 2)/((n-k)!*(2*k+3)!));
CROSSREFS
Sequence in context: A375672 A367881 A367879 * A377689 A377691 A377686
KEYWORD
nonn
AUTHOR
Seiichi Manyama, Nov 04 2024
STATUS
approved